{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 用线性回归模型或者lightGBM预测前10天的新增"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#\n",
    "import os\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from pandas.core.frame import DataFrame\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import linear_model\n",
    "from sklearn.metrics import mean_absolute_error,mean_squared_error\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import accuracy_score\n",
    "from xgboost import XGBRegressor\n",
    "from sklearn.utils import shuffle\n",
    "from sklearn.model_selection import GridSearchCV, KFold\n",
    "from sklearn import preprocessing\n",
    "from sklearn.metrics import confusion_matrix\n",
    "import lightgbm as lgb\n",
    "#import xgboost as xgb\n",
    "from lightgbm import LGBMRegressor \n",
    "import time\n",
    "import warnings\n",
    "from math import sqrt\n",
    "from matplotlib import pyplot\n",
    "from sklearn.linear_model import ElasticNet, Lasso,  BayesianRidge, LassoLarsIC\n",
    "from sklearn.ensemble import RandomForestRegressor,  GradientBoostingRegressor, AdaBoostRegressor\n",
    "from sklearn.linear_model import Ridge\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "#训练数据给的是5.1到6.29日\n",
    "train_dataA=pd.read_csv('dataset/features/features_A.csv')\n",
    "train_dataB=pd.read_csv('dataset/features/features_B.csv')\n",
    "train_dataC=pd.read_csv('dataset/features/features_C.csv')\n",
    "train_dataD=pd.read_csv('dataset/features/features_D.csv')\n",
    "train_dataE=pd.read_csv('dataset/features/features_E.csv')\n",
    "train_dataF=pd.read_csv('dataset/features/features_F.csv')\n",
    "train_dataG=pd.read_csv('dataset/features/features_G.csv')\n",
    "train_dataH=pd.read_csv('dataset/features/features_H.csv')\n",
    "train_dataI=pd.read_csv('dataset/features/features_I.csv')\n",
    "train_dataJ=pd.read_csv('dataset/features/features_J.csv')\n",
    "train_dataK=pd.read_csv('dataset/features/features_K.csv')\n",
    "train_dic={'A':train_dataA,'B':train_dataB,'C':train_dataC,'D': train_dataD,'E':train_dataE,\n",
    "        'F':train_dataF, 'G':train_dataG,'H':train_dataH,'I': train_dataI,'J':train_dataJ,'K':train_dataK}\n",
    "def clear_data(df):\n",
    "    return df.drop(['humidity','wind_force','wind_direction',\n",
    "                    'wind_speed','weather_type','temperature','ext_transfer','iner_transfer','density','migration'],axis=1)\n",
    "train_data={}\n",
    "for city_id in ['A','B','C','D','E','F','G','H','I','J','K']:\n",
    "    train_data[city_id]=clear_data(train_dic[city_id])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_lgbm = LGBMRegressor(n_estimators=10, metric='mae', random_state=2020, min_child_samples=5, min_child_weight=0.000001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "0 [1.1630637575897458, 0.8262339791150537, 0.1280203092202461, 0.5877569624775356, 0.3569019914685707]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "1 [-0.5360696572122601, 0.06932530382657154, 0.8254138500336998, -0.7265876260858046, 0.9343476992426083]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "2 [2.9738266986329904, 2.169007578001844, 1.908433712444653, 2.218830446104497, 1.8906859683859731]\n"
     ]
    },
    {
     "data": {
      "image/png": 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+UfbGF57cDHZZ7MhfAK3J6pHFiH4jWL5jedT3LSKJJaEDfcOuDSzdvrTDV+dB0/KmcaDuAH/b9Lej1kdz2NyWFA4uZPlnCnQRaVtCB/qCVQswjG+d8q2o7O/CUReSkZpxVPdFd49JH/TmCgcVsnbnWg7WHYzZMUSk60vYQHd3Hl/5OOePPJ9hfYdFZZ8903syIXfCUd0XP6v5jEP1h2J+hd7ojayqWBWzY4hI15ewgb78s+Ws27Uuas0tQVPHTGXdrnVHuirGYtjcYxUOLgRQs4uItKlLBHpNbQ27DuwK62f+ivmkpaRx+djLo1rLsd0XY9kHPSi3fy59M/oq0EWkTdEbGjCGfrzox/y++Pdhf25a3jQG9BwQ1VryBuRxYuaJvPLJK9x01k2UVZdhGCP7j4zqcZozs6Ybo+rpIiJt6BKBPvOUmUcesAnHpSddGoNqmppdHvjoAQ7VH6K0qpRhfYeFNANSRxQOKuSBjx6g0RsjGo9GRBJflwj0CbkTmJA7Id5lHDEtbxr/++H/sqR8SUyGzW1J4eBC9tftZ+PujR3uUy8iiUmXehGYkDuB7mndeXnDyzHvshikG6Mi0h4FegR6pPfgwtwLWbh+IVv3bu2UQB+bM5a0lDQFuoi0KuRAN7NUM/vIzF4MvM8ys0VmtiGwzIxdmcefqWOmUl5djuOdEugZaRmMzRmrG6Mi0qpwrtBvAZoP+XcbsNjd84DFgfdJY2re1COvO6MNHTQEgIi0LaRAN7PhwCXA/c1WTwfmB17PB2ZEt7Tj25isMeRlNd2c7IwrdGjq6bJt3zYq9ld0yvFEpGsJ9Qr9t8CtQPNpcwa5+3aAwHJgSx80szlmVmxmxZWVlR0q9nhzWf5lZPfMZnDvwZ1yvOCN0RWfreiU44lI19JuoJvZpUCFuy+N5ADuPs/di9y9KCcnJ5JdHLfuvPBOVn5nZUyGzW3J+MFNMy6p2UVEWhJKP/Rzga+Z2TSgO9DXzP4E7DCzIe6+3cyGAEnXDpCRltFpV+egsdFFpG3tXqG7++3uPtzdc4ErgDfc/SpgITA7sNls4PmYVSlH6MaoiLSmI/3Q7wYmm9kGYHLgvcSYxkYXkdaE9ei/u78FvBV4vQuYFP2SpC3Nx0Y/c9iZ8S5HRI4jelK0i9EQACLSGgV6F6Ox0UWkNQr0LkZjo4tIaxToXVDhoEJWfLaCRm9sf2MRSRoK9C6o+djoIiJBCvQuSDdGRaQlCvQuSGOji0hLFOhdkMZGF5GWKNC7KA0BICLHUqB3URobXUSOpUDvojQ2uogcS4HeRWlsdBE5lgK9i9LY6CJyLAV6F6YboyLSnAK9C9PY6CLSnAK9C2s+NrqIiAK9C9MQACLSXLuBbmbdzewfZrbCzFab2U8D67PMbJGZbQgsM2NfrjSnsdFFpLlQrtAPAxPdfTxQCFxsZmcDtwGL3T0PWBx4L51IY6OLSHPtBro3qQm8TQ/8ODAdmB9YPx+YEZMKpU0aG11EgkJqQzezVDNbDlQAi9z9A2CQu28HCCwHtvLZOWZWbGbFlZWV0apbAjQ2uogEhRTo7t7g7oXAcOAsMxsX6gHcfZ67F7l7UU5OTqR1Sit0Y1REgsLq5eLu1cBbwMXADjMbAhBYapSoONDY6CISFEovlxwz6x943QO4CFgLLARmBzabDTwfqyKldRobXUSC0kLYZggw38xSafoH4Cl3f9HM3geeMrPrgM3AzBjWKW0oHFzI66Wvx7sMEYmzdgPd3T8GTmth/S5gUiyKkvAUDirkkRWPULG/goG9Wrw3LSJJQE+KJgCNjS4ioEBPCNEYG/3dze/y3qfvRaskEYkDBXoC6OjY6CWVJVz06EWc++C5zP7LbE1rJ9JFKdATRKRjo9c21HLVc1fRK70XPzrnRyxYuYD8/81n3tJ5evpUpItRoCeISMdGv3PJnSzbvow/fvWP/GLyL1gxdwXjB4/nxhdv5NwHz1W7vEgXokBPEJGMjf7ep+9x1zt38e3Cb3NZwWUAFOQU8MY1b/DIjEfYuHsjZ8w7gx/+9YfsO7wvVqWLSJQo0BNEuEMA1NTWcPVzVzOi3wh+e/Fvj/qdmXH1+KtZd/M6rj/9en77999ScE8Bz6x5BnePeu0iEh0K9AQR7tjoP3j1B5RVlfHIjEfom9G3xW0ye2Ry36X38d5175HdM5vLn76cSxdcSllVWTRLF5EoUaAniHDGRl+4biH3f3Q/t557K+eNPK/d7c8efjbFc4r5zf/5DW9vepuxvx/Lz//2c2obaqNRuohEiQI9gQTHRm9obGh1m4r9FVy/8HrGDxrPnRfeGfK+01LS+P7Z36fkphIuPelS/v2Nf2f8feN1tS5yHFGgJ5AjY6NXtTw2urtzwws3sPfwXv709T/RLbVb2McY3nc4T898mpevfJlN1Zv4r3f/q6Nli0iUKNATSHs3Rh/46AEWrlvIXZPuYtzAkIe0b9HUvKlcMe4KHlv5mHrAiBwnFOgJpK2x0Tfu3sj3X/0+E0dN5Jazb4nK8eYWzaWmtobHVj4Wlf2JSMco0BPIkbHRjwn0+sZ6rn7uatJS0nh4+sOkWHS+9jOHnslpg0/jvuL71J1R5DigQE8wLQ0B8It3f8H7W97n95f8nhP6nRC1Y5kZc4vmsmLHCj7Y+kHU9isikVGgJ5jCQYVsr9nOjpodACzdtpQ73rqDK8ZdwZWnXhn1480aN4s+3fpwX/F9Ud+3iIRHgZ5gjoyNvmMFB+sOctVzVzGo1yDumXZPTI7XJ6MPV/3TVTy5+kl2H9wdk2OISGhCmVP0BDN708xKzGy1md0SWJ9lZovMbENgmRn7cqU9zcdGv+3121i7cy0Pz3iYrB5ZMTvmjWfcyKH6Qzyy4pGYHUNE2hfKFXo98C/uXgCcDdxkZmOB24DF7p4HLA68lzgLjo3+wEcP8N//+G9u+dItXDT6opgec/zg8Xx5+Jd1c1QkztoNdHff7u7LAq/3ASXAMGA6MD+w2XxgRqyKlPAUDi5k/a71FGQXcNekuzrlmHOL5rJu1zqWbFrSKccTkS8Kqw3dzHJpmjD6A2CQu2+HptAHWpyd2MzmmFmxmRVXVlZ2rFoJyZeGfYn0lHT+9PU/0SO9R6ccc+bYmWR2z9TNUZE4CjnQzaw38AzwfXffG+rn3H2euxe5e1FOTk4kNUqY/uXL/8KG727g9CGnd9oxe6T34NrCa3m25NkjPWxEpHOFFOhmlk5TmD/m7s8GVu8wsyGB3w8BNBHlcSIjLYOR/Ud2+nFvPONG6hrreGj5Q51+bBEJrZeLAQ8AJe7+62a/WgjMDryeDTwf/fKkKzk5+2QuzL2QPyz9g+YjFYmDUK7QzwWuBiaa2fLAzzTgbmCymW0AJgfeS5KbWzSX8upyXtv4WrxLEUk6ae1t4O7vANbKrydFtxzp6mbkz2Bgr4HcV3wfF4+5ON7liCQVPSkqUdUttRvXnXYdL6x/gS17t8S7HJGkokCXqLvh9Btwd+5fdn+8SxFJKgp0ibpRmaO4eMzF/HHZH6lrqIt3OSJJQ4EuMTG3aC7b9m3jxfUvxrsUkaShQJeYmJY3jeF9h3PfUj05KtJZFOgSE2kpadxw+g28tvE1Nu5uedJqEYkuBbrEzHWnXUeqpTJv6bx4lyKSFBToEjPD+g7jayd/jQeXP8jh+sPxLkck4SnQJabmFs1l54GdPFvybPsbi0iHKNAlpi4afRGjM0fr5qhIJ1CgS0ylWAo3nnEjb296mzWVa+JdjkhCU6BLzH278Nukp6Tzh+I/xLsUkYSmQJeYy+mVw+VjL2f+ivkcqDsQ73JEEpYCXTrF3KK57Dm8hydXPRnvUkQSVrvD54pEw3kjzqMgu4Bfvf8rqg5VxfRY6SnpzDp1Ftk9s2N6HJHjjbl7px2sqKjIi4uLO+14cny5f9n93PDCDZ1yrFNyTuHN2W+S00vz2ErXZ2ZL3b2o3e0U6NKZamprYj493d+3/J3pT0zn5AEn88bsN8jqkRXT44nEWqiB3m6Ti5k9CFwKVLj7uMC6LOBJIBcoB77p7rH9O1oSQu9uvWN+jCknTuH5K57nqwu+ypRHp/D6Na/Tv3v/mB9XJN5CuSn6MHDsXGK3AYvdPQ9YHHgvctyYcuIUnv3ms3y842Mu/tPF7D28N94licRcu4Hu7m8Du49ZPR2YH3g9H5gR5bpEOuySky7hqZlPsXT7UqY9No2a2pp4lyQSU5F2Wxzk7tsBAsuB0StJJHpm5M/g8a8/zvtb3uerC76qfvCS0GLeD93M5phZsZkVV1ZWxvpwIl8w85SZPHrZoywpX8KMJ2ZwqP5QvEsSiYlIA32HmQ0BCCwrWtvQ3ee5e5G7F+XkqAuZxMeVp17Jg9MfZFHpIr7x1Dc6bTjfw/WHKd5WzL0f3sstr9zC0m1LO+W4kpwifbBoITAbuDuwfD5qFYnEyLWF11LbUMuNL97IN//8TZ6e+TTdUrtFbf/1jfWsqVxD8bZiPtz6IcXbi1nx2QrqGpsmyk61VB5e8TCLr1lM0dB2e6CJhK3dfuhmtgCYAGQDO4A7gL8ATwEjgM3ATHc/9sbpF6gfuhwP7vnHPdz8ys18o+AbPHH5E6SlhH9d0+iNbNi1gQ+3fdgU4Ns+5KPtH3Gw/iAAfTP6UjS0iDOHnnlkmWIpXPDwBVQdquLN2W9SOLgw2qcmCUoPFom04Tfv/4YfvvZDZo2bxaOXPUpqSmqr27o75dXlR8K7eFsxS7cvPdIVsmd6T04fcjpFQ4o4c1hTgI/JGkOKfbFFs7y6nPMfOp8DdQd469q3GDdwXMzOURJH1B4sEklEP/jyDzjccJjbF99Oemo6D01/6EgAb9279chVdzDAdx3cBUC31G6MHzSefz71n49ceRfkFIR8lZ/bP5c3Zr/BBQ9fwKRHJvHW7LcoyCmI2XlKclGgS9K67Su3UdtQyx1v3cGuA7tIsRSKtxWzvWY70NTmfcrAU5iRP+NIeJ866NQOt7uPyRrDG9d8HupLrl1C3oC8aJySJDk1uUhSc3d+8tZPuOuduzgx68Sj2r0LBxfSM71nzI69pnINEx6eQEZaBkuuXcLozNExO5Z0bWpDFwlDQ2NDm+3osfLxjo+5cP6F9OnWhyXXLmFk/5GdXoMc/0INdE1wIQJxCXOAfxr0Tyy6ehF7Du9h4iMT2bJ3S1zqkMSgQBeJs9OHnM5fr/orlfsrmfTIJLbv2x7vkqSLUqCLHAfOGnYWr171Klv3bmXSI5Oo2N/qw9dRV15dzsG6g512PIkdBbrIceKcE87hpStfory6nIseuYhdB3bF9Hjuzv988D+M+e8xFNxTwIvrX4zp8ST2FOgix5ELci/ghVkvsGH3BiY/Opmqg7GZN6a2oZY5L8zhe69+jyknTqF3t958dcFXuezJy9i8Z3NMjimxp0AXOc5MGj2J5771HKsrVzPlT1MoqyqL6v4r9lcwcf5E7v/ofv7jvP/gxStfZNmNy7h70t389ZO/MvaesfzqvV9R11AX1eNK7CnQRY5DF4+5mGe++QwllSWc8vtTuOtvd1HbUNvh/S7/bDlF84pYtn0ZT3zjCf5z4n+SYil0S+3Gj7/yY9bctIaJoybyo0U/4ox5Z/Du5nejcDbSWRToIsepS0+6lJKbSpiaN5V/e+PfKLyvkCXlSyLe39Orn+bcB8/Fcd75v+/wrXHf+sI2uf1zWThrIX/51l+oPlTNVx76CtcvvL7D7fnuHv4+6vQXQrj0YJFIF/DS+pe4+ZWbKa8u55rx1/DLyb9kYK/QJgpr9EZ++tZPufPtOznnhHN49pvPMqj3oHY/V1Nbw51L7uTX7/+a/t3788vJv+TawmsxszY/5+5s27ftqJEoi7cVk9Mzh7U3rw2pZgCGDIGePWHs2KafU05pWubnQ+/YTzZ+PNGToiIJ5kDdAX729s/45Xu/pHe33tx90d1cf/r1LY7qGFRTW8M1z13Dc2uf49uF3+beS+4lIy0jrOOu3LGS77z0Hd799F3OG3Ee915yL6cMPOXI7yv3Vx4V3B9u+5DPaj4DmsbDOXXQqRQNKeKsYWdx/enXt/sPAgANDfDzn8Pq1bBmDaxbB7XNmpxGjjw65MeOhYIC6Ns3rHOLiDuEcg5RpKFcaIEAAAWhSURBVEAXSVAllSV856XvsGTTEs4efjb3XXIf4weP/8J25dXlfG3B11hduZpfT/k13/vS90IL0xY0eiMPffQQt75+K3sP7+Xa8ddSdaiKD7d9eKRXjGHkZ+cfGQ/nzGFnMn7QeHqk9+jQ+QJQXw8bNzaF+5o1nwf92rVwuNnsU0OHQlZWU7D36dO0bO91airs2QNVVVBd3fTT2uvgT3o6ZGZ+/pOV1fr74OsRI5r+4oiAAl0kgbk7j378KP/62r+y++Buvvel7/HTCT+lT0YfAJaUL+Hypy+nvrGeJy9/kiknTonKcXce2Mmti25l/or55PbPPWoCj9OGnEbfjE64Qm6uoQFKSz8P+vXrm8J5717Yt69pGXy9b1/o++3RA/r3//wnM/Po93V1TUG/e3fTMvize3frx3npJZg2LaLTVKCLJIHdB3dz++u3M2/ZPIb1GcbvLv4dlQcq+e4r32VM1hgWXrEwJkPz1jfWRzTTU1w1NkJNzedBH1zW1x8d2v36QffukR+nvv7zK/vmgT9hQtN9gQh0SqCb2cXA74BU4H53v7ut7RXoIrHx9y1/Z+6Lc1mxYwUA0/Km8fjXH6df935xrkyiIeYzFplZKnAPMBnYAnxoZgvdfU2k+xSRyJw9/GyK5xRz74f3sr9uPz8650dxG0FS4qcjfzOdBXzi7qUAZvYEMB1QoIvEQVpKGt/90nfjXYbEUUceLBoGfNrs/ZbAOhERiYOOBHpL/Z++0CBvZnPMrNjMiisrKztwOBERaUtHAn0LcEKz98OBbcdu5O7z3L3I3YtycnI6cDgREWlLRwL9QyDPzEaZWTfgCmBhdMoSEZFwRXxT1N3rzexm4K80dVt80N1XR60yEREJS4eeDHD3l4GXo1SLiIh0gIbPFRFJEAp0EZEE0aljuZhZJbApwo9nAzujWE5Xk8znr3NPXsl8/s3PfaS7t9tNsFMDvSPMrDiUsQwSVTKfv849Oc8dkvv8Izl3NbmIiCQIBbqISILoSoE+L94FxFkyn7/OPXkl8/mHfe5dpg1dRETa1pWu0EVEpA0KdBGRBNElAt3MLjazdWb2iZndFu96OpOZlZvZSjNbbmYJP3+fmT1oZhVmtqrZuiwzW2RmGwLLzHjWGCutnPtPzGxr4PtfbmaRzTJ8nDOzE8zsTTMrMbPVZnZLYH2yfPetnX9Y3/9x34YemOpuPc2mugNmJctUd2ZWDhS5e1I8XGFm5wM1wCPuPi6w7hfAbne/O/APeqa7/ziedcZCK+f+E6DG3X8Vz9pizcyGAEPcfZmZ9QGWAjOAa0mO77618/8mYXz/XeEK/chUd+5eCwSnupME5O5vA7uPWT0dmB94PZ+m/9ETTivnnhTcfbu7Lwu83geU0DQDWrJ8962df1i6QqAn+1R3DrxmZkvNbE68i4mTQe6+HZr+xwcGxrmeznazmX0caJJJyCaH5swsFzgN+IAk/O6POX8I4/vvCoEe0lR3Cexcdz8dmArcFPizXJLHvcCJQCGwHfh/8S0ntsysN/AM8H133xvvejpbC+cf1vffFQI9pKnuEpW7bwssK4DnaGqCSjY7Am2MwbbGijjX02ncfYe7N7h7I/BHEvj7N7N0msLsMXd/NrA6ab77ls4/3O+/KwR60k51Z2a9AjdIMLNewBRgVdufSkgLgdmB17OB5+NYS6cKhlnAZSTo929mBjwAlLj7r5v9Kim++9bOP9zv/7jv5QIQ6KrzWz6f6u5ncS6pU5jZaJquyqFpdqnHE/3czWwBMIGmoUN3AHcAfwGeAkYAm4GZ7p5wNw9bOfcJNP257UA5cGOwTTmRmNlXgL8BK4HGwOp/o6kdORm++9bOfxZhfP9dItBFRKR9XaHJRUREQqBAFxFJEAp0EZEEoUAXEUkQCnQRkQShQBcRSRAKdBGRBPH/AfCJMsM4UOO4AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "3 [-0.3840740846644606, -0.4931463724959608, -0.5776785961163424, -1.1049303329735127, -1.0397817108602343]\n"
     ]
    },
    {
     "data": {
      "image/png": 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kJSJ/xUJ3gIhgWvI0ZJ/Oxgc7P6h2vrMXzmJm+kwMaD8A8W3jnd6OO09oIiL/w0J30ID2A9C3TV9M3TAV5ZbyKud5c+ubKC4rdvrovFL94PqYeMdEbDq6Cd8c/saVuETkh1joDqo8Sj9WcgzzMudd9X5xWTFmbZmFwZ0Go1erXrXezq8nNKXV/oQmb1BVbMvb5vAXxUTkeSx0JyTHJCMxOhHTN05H6cXS37w3a/MslFwoQWqia6fxV57QlJGfgRUHV7i0Lk9avGcx+rzfB6+mv2p0FCKyY6E7aWrSVJwsPYl3tv/rvqAFpQV4a9tbGNJlCLq26OryNlw5ockbjp45irFfjwUAzM2YiwprhcGJiAhgoTstoW0C+rfvj5npM3H2wlkAwMxNM1FmKUPKXSlu2UZQQBBSElOwt2AvPjvwmVvW6S5WtWL4l8NhVSte6/cacs/mYuWhlUbHIiI4UOgiskBECkRk32XTmonItyJyyP4c7tmYdcvUpKkoLivGm1vfxLGzxzA7YzaGdhuKjtd1dNs2hnS2ndD0UtpLdWqc+u3v38ba7LV4/Z7X8Vyf59CqUSvMyZhjdCwigmNH6P8H4Mrz1ycAWKOqHQCssb/2G7GtYjGo0yDM2jIL478bD4vVgpfudO9p+4EBgb+e0LR071K3rru2fij6AX/97q8Y2GEgRvQcgaCAIIzsORL//OmfOFx82Oh4RH6vxkJX1Q0Aiq+Y/ACAhfa/FwKo/nKCJjUlcQpKLpRg6d6lGNFjBGLCY9y+jcoTmlLWpeBSxSW3r98ZFqsFQz8figbBDfDev7336yUNRvQcgUAJxLuZ7xqaj4hqP4beQlWPA4D9ubn7IvmGri26YkiXIQgNCsWLd77okW1cfkLTmJVjDP2C9JWNr2B7/nbMvW8uWjZq+ev01o1bY1CnQViwc0G1v88nIu/w+JeiIjJSRDJEJKOwsNDTm/Oq+f82H7ue2oU2jdt4bBsD2g/Ai3e8iPd2vofhXw435BclmfmZmLJhCh7r8hge7vzwVe+Pjh2NU2WnnLoiJRG5X20L/aSItAQA+3NBdTOq6jxVjVXV2MjIyFpurm5qGNLQrV+EVqXyKH1K4hQs2r0If/z8j14dfim3lGPoF0PRPKw53h74dpXzJMcko2NER345SmSw2hb6CgDD7H8PA+D8LX3IKZPumoSZv5uJj/Z9hCGfDanxImHuMnHtRBwoPIAF9y9As/rNqpxHRDAqdhS25G3BrhO7vJKLiK7myM8WPwSwBUBHEckTkScBzADQT0QOAehnf00eNj5+PN7q/xY+/+FzPPjxgx4fs16fsx6vb3kdo2NH4972915z3mHdhqF+UH3M2c6jdCKjiDevFxIbG6sZGRle255ZvZvxLkatHIV7brwHnw/5HA2CG7h9GyUXSnDr3FsRKIHYPWo3wkLCalzmyS+fxEf7P0L+8/loEtrE7ZmI/JWIZKpqbE3z8UxRH/RU7FNYcP8CfHv4W9y39D6cu3jO7dt4fvXzOHrmKBYNXuRQmQPAmNvG4Pyl81i8Z7Hb8xBRzVjoPmp4j+H4x4P/wMYjG9H/H/1/vQyBO3z141d4b+d7GB83HnFRcQ4v16tVL9zW6jbM3j67Tl8pksisWOg+7PGuj+OjP3yEbce2od/ifvil7BeX11l0vggjVozArS1uRUpiitPLj7ltDLKKsrDhyAaXsxCRc1joPu4Pt/wByx5Zhl0nduHuRXej6HxRrdelqhi9cjSKy4qxePBi1Auq5/Q6hnQegvDQcMzOmF3rHERUOyx0E7i/4/348tEvkVWUheSFyTh57mSt1vPhvg/x2YHPMCVpCm5tcWut1lE/uD6Gdx+O5VnLceLciVqtg4hqh4VuEv3b98dXj32Fw78cRuLCROSX5Du1fN7ZPDy96mnERcVhXNw4l7KMih0Fi9WC93e879J6iMg5/NmiyWw8shEDlw4EADSu19jh5c5dPAeL1YLdo3ajfbP2Lue4Z/E9+KHoB2Q/m43AgECX10fkzxz92WKQN8KQ99zR7g6sG7YO83fMd/q6L490fsQtZQ7Yru/y4CcPYuWhlbi/4/1uWScRXRuP0MkjLFYLot+MRpfmXfDPP/7T6DhEPo0nFpGhggKCMLLXSKw+vJo3vyDyEhY6eUzlXY3mZsw1OgqRX2Chk8e0atTKdvOLXQtQdqnM6DhEpsdCJ48aEzsGxWXF+PQAb35B5GksdPKoxOhEdLquE29+QeQFLHTyKBHBqF6jsDVvK3Ye32l0HCJTY6GTxw3rbr/5BY/SiTyKhU4e1zS0KR7v+jiW7F2CM+VnjI5DZFosdPKKyptfLNq9yOgoRKbFQiev6NmyJ3q37o05GXN48wsiD2Ghk9eM7T0WWUVZ+OKHL4yOQmRKLHTymke7PIqOER3x0rqXYFWr0XGITIeFTl4TFBCE1MRU7CvYh0/2f2J0HCLTcanQRSRHRPaKyC4R4WUUqUYPd34YXZt3xeR1k2GxWoyOQ2Qq7jhCT1LV7o5c2pEoQAIwNWkqfjz1I/6x5x9GxyEyFQ65kNfd3/F+xLaKRer6VFysuGh0HCLTcLXQFcA3IpIpIiOrmkFERopIhohkFBYWurg5MgMRwdSkqcg5nYMPdn5gdBwi03DpjkUi0kpV80WkOYBvAYxV1Q3Vzc87FlElVcUdH9yBnNM5+OnPPyE0KNToSER1llfuWKSq+fbnAgCfA+jtyvrIf4gIpiVPw7GSY3g3412j4xCZQq0LXUTCRKRR5d8A7gGwz13ByPwSoxNxd8zdmL5pOkovlhodh8jnuXKE3gLAJhHZDeB7ACtVlXcDJqdMTZqKgtICvP3920ZHIfJ5tS50Vf1ZVbvZH51V9WV3BiP/0DeqLwZ2GIhXN7+KsxfOGh2HyKfxZ4tkuCmJU1BcVow3t75pdBQin8ZCJ8P1atULD978IGZtmYXismKj4xD5LBY61QmpiakouVCCv23+m9FRiHwWC53qhC7Nu+Cxro/hrW1voaC0wOg4RD6JhU51xuS7JqPcUo4Zm2YYHYXIJ7HQqc64KeImDOs2DLO3z8axs8dqvZ6yS2VuTEXkO1joVKe8dJft5hfTN053etmDRQfxpy/+hEavNMKr6a96IB1R3cZCpzolumk0RvQcgfk75iPndI5Dy+w9uRePfvYobn7nZnyy/xPcEnkLXlz7InYe3+nZsER1DAud6pwX73jRdt309VOvOV9GfgYGfTQIt869FasOrcKEhAk48twRpA1LQ2SDSAz9YiguWC54KTWR8VjoVOe0btwaY24bg4W7F+LHUz9e9X760XQMWDIAt82/DeuPrEfKXSnIeS4H0++ejsiwSEQ0iMD797+PfQX78FLaSwbsAZExWOhUJ01ImIB6QfWQuj4VgO1yu2uz1yJpYRISPkhAZn4mZtw9A0eeO4LJiZPRrH6z3yw/oMMAjOw5Eq9tfg2bjm4yYheIvC7I6ABEVWke1hx/7v1nzEyfiYSoBCzesxhb8ragZcOWeOPeN/CfPf8TYSFh11zHrHtn4bvs7zD086HYPWo3GtVr5KX0RMbgETrVWePix6FRvUYYs2oMjpUcw+yBs/Hzsz/juT7P1VjmANAwpCEWDlqInNM5+O9v/tsLiYmMxSN0qrOa1W+GTx/+FCfPncSjXR5FcGCw0+tIaJuAcXHj8OrmV/FApwcwsMNADyQlqhtcugWds3gLOjLCBcsFxM6PRdH5IuwbvQ8RDSKMjkTkFK/cgo7IF9QLqofFgxfj1PlTeHrV00bHIfIYFjr5he7Xd0dKYgo+3v8xPtr3kdFxiDyChU5+Y3z8ePRp0wdjVo5x6VoxRHUVC538RlBAEBYNWoRySzmeXPEkvPX9kapi1aFVGPzxYKSsS8EvZb94ZbueUHapDG9//zZ+v/T3WLR7ESxWi9GR6DIsdPIrHSI64LV+r2H14dV4N/Ndj27LqlYsz1qOXvN64b6l9yH9aDpS16ei3Zvt8MJ3L6CwtNCj23encxfP4W+b/4aYt2Iw9uux2J6/HcO+GIaOb3fE/Mz5vMRCHcFCJ78z+rbR6HdDP/zlm7/gp+Kf3L7+CmsFlu5diq5zuuKhTx7CuYvn8MEDH+DY88ewZ9QeDOwwEDPTZ6Ldm+3w/OrnkV+S7/YM7nKm/AymbZiGdm+2w7hvx6Fri65Y/6f1OPGXE1jx6ApE1I/AyK9Gov3f2+Pv2/7OSxcbTVW99ujVq5cS1QW5Z3K1yStNNO79OLVUWNyyzouWi7pgxwLt8L8dFCnQzu901qV7lla5/h8Kf9Bhnw/TwNRADZkaoqO/Gq05v+S4JYc7FJUW6cQ1E7XJK00UKdDfL/29bsndctV8VqtVV/+0WhMWJChSoC1ea6Gvpb+mJRdKDEhtXgAy1IGOdamgAfQHcBDATwAm1DQ/C53qksW7FytSoDM2znBpPWWXynTO9jna7o12ihRoj7k9dNmBZVphrahx2cPFh3XkipEaPCVYg6YE6X988R966NQhl/K44njJcR33zTgNezlMkQJ96OOHdEf+DoeWXZe9Tn+36HeKFGjEzAidtn6ani477eHE/sHjhQ4gEMBhADcACAGwG8At11qGhU51idVq1Yc+fkiDpwTr7hO7nV6+9GKpvrHlDW01q5UiBdrnvT668seVarVanV7X0dNHdeyqsRo6LVQDUgP035f9u+4v2O/0emrryu0/vuxx3XdyX63WtfnoZr1vyX2KFGiTV5roxDUTtai0yM2J/YujhV7rM0VFpC+AFFW91/76BfsQzivVLcMzRamuKSwtRNc5XREWEoa4qDiHl7OqFd8e/haF5wuRGJ2IiXdMRHJMMkTEpTwnzp3ArM2zMCdjDs5fOo97brwHkWGRLq2zJqUXS/HVj19BoRh661BMSJiADhEdXF7vzuM7MW3jNCzPWo6w4DCMuW0MXk5+uVaXcPB3jp4p6kqh/wFAf1UdYX/9BIDbVfWZK+YbCWAkALRt27bXkSNHarU9Ik/57ufv8Ow/n0W5pdyp5Tpd1wkvJLyAhLYJbs9UdL4Ib219C58c+MTjPw0UCPrd0A9/TfgroptGu339+wv2Y/qm6cg7m4d1w9a5/B89f+SNQn8YwL1XFHpvVR1b3TI8QifyX5cqLjl3dP7dd0BICNC4MdCoke25cWOgXj3PhayjHC10V662mAcg6rLXbQDU3d9fEZGhnB5qGTQIKC2tYkXBvy35K5/DwoAGDap+rmpaRARQv757dtJgrhT6dgAdRCQGwDEAjwJ43C2piIjWrgXOngVKSn77XNW0wkLg8GHb69JS26OiwrHtBAcDvXsDyclAUhLQty8QGurZffOQWhe6qlpE5BkAq2H7xcsCVd3vtmRE5N9693Zt+YsXbcV+/vy1nw8fBtLSgJdfBqZOtQ3pxMX9q+B797aVvg9w6QYXqroKwCo3ZSEicp+QENsjPNyx+c+cATZutP2fQVoaMGmSbXpYGJCQYCv45GSgRw8gMPDq5S0WoLy8+scttwDNml29nBvxBhdERFU5dQpYv/5fBX/ggG16kyZAZORvy7qsrOYhnq+/Bvr3r1UUb3wpSkRkXhERwIMP2h4AcOKErdjXrwfOnbONszvz6NHD45FZ6EREjrj+euCxx2yPOopXWyQiMgkWOhGRSbDQiYhMgoVORGQSLHQiIpNgoRMRmQQLnYjIJFjoREQm4dVT/0WkEEBt73BxHYAiN8bxNf68/9x3/+XP+3/5vrdT1RpvXeXVQneFiGQ4ci0Ds/Ln/ee+++e+A/69/7XZdw65EBGZBAudiMgkfKnQ5xkdwGD+vP/cd//lz/vv9L77zBg6ERFdmy8doRMR0TWw0ImITMInCl1E+ovIQRH5SUQmGJ3Hm0QkR0T2isguETH9/ftEZIGIFIjIvsumNRORb0XkkP3ZwZtE+pZq9j1FRI7ZP/9dIjLQyIyeIiJRIpImIlkisl9EnrVP95fPvrr9d+rzr/Nj6CISCOBHAP0A5AHYDuAxVT1gaDAvEZEcALGq6hcnV4jInQDOAVikql3s014FUKyqM+z/QQ9X1b8amdMTqtn3FADnVPVvRmbzNBFpCaClqu4QkUYAMgEMAvAn+MdnX93+PwInPn9fOELvDeAnVf1ZVVIrs4QAAAHsSURBVC8C+AjAAwZnIg9R1Q0Aiq+Y/ACAhfa/F8L2L7rpVLPvfkFVj6vqDvvfJQCyALSG/3z21e2/U3yh0FsDyL3sdR5qsaM+TAF8IyKZIjLS6DAGaaGqxwHbv/gAmhucx9ueEZE99iEZUw45XE5EogH0ALANfvjZX7H/gBOfvy8UulQxrW6PE7lXvKr2BDAAwNP2/y0n/zEHwI0AugM4DmCWsXE8S0QaAlgG4DlVPWt0Hm+rYv+d+vx9odDzAERd9roNgHyDsnidqubbnwsAfA7bEJS/OWkfY6wcaywwOI/XqOpJVa1QVSuA+TDx5y8iwbCV2RJVXW6f7DeffVX77+zn7wuFvh1ABxGJEZEQAI8CWGFwJq8QkTD7FyQQkTAA9wDYd+2lTGkFgGH2v4cB+NLALF5VWWZ2g2HSz19EBMD7ALJU9fXL3vKLz766/Xf286/zv3IBAPtPdd4EEAhggaq+bHAkrxCRG2A7KgeAIABLzb7vIvIhgETYLh16EsBkAF8A+ARAWwBHATysqqb78rCafU+E7X+3FUAOgKcqx5TNREQSAGwEsBeA1T75f2AbR/aHz766/X8MTnz+PlHoRERUM18YciEiIgew0ImITIKFTkRkEix0IiKTYKETEZkEC52IyCRY6EREJvH/kQ58SKUKiDUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "4 [0.4561707300123227, 0.05640493582756883, 0.2776272554578738, 0.45377646847466685, 0.2801307347601811]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "5 [-1.142495978987026, -4.369829913750464, -4.362055104216195, -3.210539905540645, -6.2637667255680824]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "6 [-0.08070646068800258, -3.040029591394114, -2.055033922779129, -1.835462245346338, -2.8839704291170114]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "7 [-1.8492525796150954, -2.7761331852345545, -5.120100735695148, -3.1599755731021464, -4.292086169832588]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "8 [-3.4473919376821716, -4.324921190816133, -2.8908350517130916, -3.0676771207531988, -4.584489677884221]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "9 [-0.7876331241720327, -0.10311320993190742, -0.8704252339885387, -1.9520214729244794, -2.5342591713832623]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "10 [5.168863811368173, 1.7599648964449877, 2.845526698365605, 3.6914231447429104, 3.0770519136658567]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "11 [-1.1969135096045376, -2.2588257376744263, -1.5427771145544291, -2.484551584133704, -3.9222692246298214]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "12 [6.49901547760415, 3.580210116941288, -0.340340686180463, -3.8014214394867327, -6.865435057707551]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "13 [0.1880951805981237, -0.880181843870282, -1.57811762520079, -2.1872792188288033, -2.933663655655993]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "14 [7.775213585484075, 4.432743693430956, 4.527444491511597, 5.541712610931638, 5.155775703964151]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "15 [3.2297019433257717, 0.7722801438291544, 0.743945144883785, 1.2784673996012357, 0.3646554431401947]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "16 [1.308949655126301, 1.3745170490523093, 1.047726213679476, 1.5236905004427044, 1.1801572526822484]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "17 [5.554104317625811, 2.699207520985933, 2.5575246957952276, 3.657048421618909, 2.458534215046428]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "18 [-2.258717171352076, -2.1710574600119337, -0.16915633466848545, -1.0957838991598527, -3.05311999171907]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "19 [0.9595440989181281, 2.7743416104286194, 0.7316254952298062, -0.4154712748673397, -2.064802934635553]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "20 [6.371359879887532, 0.6275859708802984, 2.7889592107291383, -0.8852502258979292, 2.207929761516389]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "21 [0.29352820735192964, -4.919689084109881, -2.210167056265295, -2.6624897921013826, -6.250113740233716]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "22 [0.9215191343889138, 0.4233136141025493, 0.6774988085464888, -0.4857237011232071, -0.771569728313138]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "23 [5.209009045988936, 1.306479472903582, -0.1699465905869113, -0.48795720688468114, -1.1468347919590658]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "24 [0.6960276429968133, 2.5805516026655058, 1.8204990037490185, 1.5595671144233354, 1.6445874291751617]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "25 [4.078754260561134, 4.947736463164676, 3.593501483178227, 2.7945177087160857, 1.6922669673736768]\n"
     ]
    },
    {
     "data": {
      "image/png": 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ZsmXzmlNyKTQklD4N+7Do+0XsOLLD6Tgi4gO5OsvFWnsM+BJoBxwwxlQEcD2mejyd5MsDDR4g1IQyIWWC01FExAfcOculrDEm0vV7EaA1sBWYB/RyzdYLmOutkJI3FS+pSOerOzP5u8mczTjrdBwR8TJ39tArAkuNMeuB1WQfQ/8UGA60McZsB9q4nksBExcdx+HTh/lgywdORxERLzO+vJBTdHS0TU5O9tl4Alk2i6vevIqKxSuy7L5lTscRkTwwxqRYa6Nzmk/fFA1wISaEvg37snz3cl1aVyTAqdCDwL3176VQaCGdwigS4FToQaBM0TLcWedOpqyfwqlzp5yOIyJeokIPEnHRcRw/e5yZG2c6HUVEvESFHiSaVWnGNWWvYXyKDruIBCoVepAwxhAXHUfyvmSS9+lMI5FApEIPIj3r9aRoeFHeTn7b6Sgi4gUq9CBSMqIk3a/tzvSN0/nlzC9OxxERD1OhB5m46DjS0tN0I2mRAKRCDzLRl0XTsGJDxqeMx5ffEhYR71OhB6G46Dg2pm4kaU+S01FExINU6EHormvvokThEjqFUSTAqNCDUPFCxelZryezN83mUNohp+OIiIeo0INU34Z9OZt5loS1CTnPLCJ+QYUepOqWr0uzKs14O+VtsmyW03FExANU6EEsLjqO7Ue2s/SHpU5HEREPUKEHsTvq3EHpIqX14ahIgFChB7GIsAjuq38fH2/9mP0n9jsdR0TySYUe5Po27EtGVgaTv5vsdBQRyScVepCrdWktWl/emglrJpCZlel0HBHJBxW6ENcwjt2/7ObzHZ87HUVE8kGFLnS8qiMVildgRNIIXd9FxI+p0IXw0HBe+McLLPtxGdM3THc6jojkkQpdAHjwugeJqRTD4wsf59iZY07HEZE8UKELAKEhoYxtP5aDaQd5dsmzTscRkTzIsdCNMVWMMUuNMVuMMZuMMY+4ppc2xiwyxmx3PZbyflzxpoaXNaR/dH/GJo8lZV+K03FEJJfc2UPPAB631tYGGgMPGWPqAEOARGttLSDR9Vz83EstX6Js0bL0+6yfTmMU8TM5Frq1dr+1do3r9xPAFqAS0Ak4f6m+BKCzt0KK70RGRPJa29dYvW8176x5x+k4IpILuTqGboypDjQAVgLlrbX7Ibv0gXKeDifOuLvu3dxU/SaeSnyK1FOpTscRETe5XejGmOLAB8BAa+3xXCzXxxiTbIxJPnjwYF4yio8ZYxjbfiwnzp3gycVPOh1HRNzkVqEbY8LJLvP3rLUfuiYfMMZUdL1eEbjgrpy1doK1NtpaG122bFlPZBYfqF22NoOaDOLdte+y/MflTscRETe4c5aLASYBW6y1o3730jygl+v3XsBcz8cTJz1z4zNULVmV/vP7k56Z7nQcEcmBO3vozYCeQEtjzFrXT3tgONDGGLMdaON6LgGkWKFivNHuDTambuSNlW84HUdEcmB8ee2O6Ohom5yc7LPxJP+stXSc2ZGlPyxl64CtVC5R2elIIkHHGJNirY3OaT59U1T+ljGGN9q9QabN5LEvHnM6joj8DRW65KhGqRo8c8MzzN48my92fOF0HBG5CBW6uGVQ00FceemVDFgwgDMZZ5yOIyIXoEIXtxQOK8xb7d9ix5EdjPhmhNNxROQCVOjittaXt6bbNd14efnL7Dyy0+k4IvInKnTJlVE3j6JQaCEGLBiguxuJFDAqdMmVyy65jBdbvMjnOz7no60fOR1HRH5HhS65NiBmAPXK1+ORzx/h5LmTTscRERcVuuRaWEgY4/5vHHuP72Xs6rFOxxERFxW65EnTKk25oeoNTEiZQJbNcjqOiKBCl3zoF92PnUd3kvh9otNRRAQVuuTDbbVvo0zRMoxPGe90FBFBhS75UDisMPfXv5+5W+ey78Q+p+OIBD0VuuRLn4Z9yLSZTFozyekoIkFPhS75UrN0TdrWbMuENRPIyMpwOo5IUFOhS77FNYxj7/G9LNi+wOkoIkFNhS751uHKDlx2yWX6cFTEYSp0ybfw0HAebPAgC7YvYNexXU7HEQlaKnTxiAevexBjDBNTJjodRSRoqdDFI6qUrEKHKzsw6btJnMs853QckaCkQhePiWsYx4FTB5i7da7TUUSCkgpdPKZtzbZUj6zu0Q9H1/28jk2pmzy2vgs5cfYEczbPITMr06vjiHibCl08JjQklD7X9WHJD0v436H/5Xt92w9vp/l/m3PLe7eQnpnugYQXNnTJUO6cfScdZnTg2JljXhtHxNtU6OJR9ze4n7CQMCakTMjXes5lnqP7B905l3mOPcf3MGvTLA8l/KPDaYeZ9N0k6pWvR+L3iTR+pzHbDm/zylgi3qZCF48qX7w8t9W+jXfXvcvp9NN5Xs9Ti58iZX8KM2+fSZ2ydYhPivfKLe/GJY8jLT2NaV2mkRibyOHTh4mZGMMXO77w+Fgi3qZCF4+LaxjHkdNHmLN5Tp6Wn799PqNWjGLA9QPoUrsLg5oMYv2B9Sz6fpFHc57JOMOYVWNod0U76pavyw3VbiC5dzLVIqvRfnp7/vPtf3TfVPErORa6MWayMSbVGLPxd9NKG2MWGWO2ux5LeTem+JObqt/ElZdemacPR/ed2Eevj3sRVT6K+LbxANxd924qFq9IfFK8R3NOWTeF1FOpDG46+Ndp1SKr8c3939Dl6i48tvAx7p93P2czznp0XBFvcWcP/V2g3Z+mDQESrbW1gETXcxEAjDHENYwjaU8S6w+sd3u5zKxMen7Uk7T0NGbeMZOIsAgg+zK9jzR6hMXfL+a7/d95JGOWzeK1b1/juorX0aJ6iz+8VrxQcd6/831e+McLvLv2XVoktODnkz97ZFwRb8qx0K21y4Ajf5rcCUhw/Z4AdPZwLvFzver3onBoYcYnu7+XPvzr4Sz5YQljbhnD1WWu/sNrfaP7UrxQcUZ+O9Ij+eb9bx7bDm9jcNPBGGP+8nqICeH5m55nzp1zWHdgHdEToknel+yRsUW8Ja/H0Mtba/cDuB7LXWxGY0wfY0yyMSb54MGDeRxO/E3pIqXpdm03pq6fyomzJ3KcP2lPEs9/+Tzdr+3OffXv+8vrkRGR9LmuD7M2zuLHYz/mO198UjzVI6tzR507/na+2+vcTtL9SYSGhHLDf29g5saZ+R5bxFu8/qGotXaCtTbaWhtdtmxZbw8nBUhcwzhOnjvJjI0z/na+o6eP0v2D7lSLrMb4DuMvuMcMMLDxQIwxvL7i9XzlStqTRNKeJB5t/ChhIWE5zh9VIYrVvVdz/WXX0/2D7gxNHKobY0uBlNdCP2CMqQjgekz1XCQJFI0rN6Ze+XqMTx5/0bNFrLX0/qQ3+07sY8btMyhRuMRF11elZBXuuvYuJq6ZyNHTR/OcKz4pnlIRpbi/wf1uL1OuWDkWxy6m93W9efnrl+k8szPHzx7PcwYRb8hroc8Derl+7wXo4h3yF+c/HP3u5+9YvW/1Bed5O+VtPtjyAS+3fJmYSjE5rnNQk0GcSj+Vq2Pzv7ft8Dbmbp1L/+v7U7xQ8VwtWyi0EG93eJs3b3mT+dvnEzU+ihkbZmhvXQoMd05bnAF8C1xljNlrjHkAGA60McZsB9q4nov8RY96PSgWXuyCBbwxdSOPfvEoN9e8mcebPu7W+qIqRNG2ZlveWPVGnk4nfC3pNQqFFuLhmIdzvSxk/yf1UMxDLO21lMiISO7+8G5iJsaw9IeleVqfiCe5c5ZLd2ttRWttuLW2srV2krX2sLW2lbW2luvxz2fBiABQonAJetTtwcyNM/9wmCQtPY1uc7pRsnBJEjonEGLc/2NxcNPB/HzyZ6atn5arLAdOHiBhXQKxUbGUL14+V8v+2Q3VbiClTwpTOmefy95ySks6TO/AxtSNOS8s4iX6pqh4XVx0HKczTjN1/dRfpz36+aNsPriZqV2m5rpcW9VoRf0K9Rn57chcHe54c9WbnMs8x+NN3PtrICchJoSeUT3Z9vA2RrQewde7vyZqfBQPzH2An47/5JExRHJDhS5e16BiA2Iqxfz64ejsTbOZsGYCTzZ7kjY12+R6fcYYBjcdzNZDW/ls22duLXPq3CnGJo+l41UduarMVbke8+9EhEUwuNlgdv5zJwMbDWTahmnUGlOLoYlD+eXMLx4dS+TvqNDFJ/pF92PLoS1MXT+V3p/0plGlRrzU4qU8r+/OOndStWRVty8HMPm7yRw5feQPX/P3tEuLXsprN7/G1oe20qV2F17++mWuGHMFY1aO0V2cxCdU6OITXa/pSmREJL0+7oXFMuP2GYSHhud5feGh4Tza+FGW717Oyr0r/3bejKwMRq0YRdMqTWlWtVmex3RXjVI1eO+290junUzdcnX55+f/pM5bdZi9abYu9iVepUIXnygaXpReUdlnuk68dSI1StXI9zofvO5BIiMic9xL/2DzB+w6tsure+cX0vCyhiTGJjL/7vkUCS9C1zlduf392zl57qRPc0jwML7cY4iOjrbJyboeRrA6nX6alP0pNK/a3GPrfDrxaYZ/PZxtD2/jitJX/OV1ay3XT7yeE+dOsOWhLbk6m8aTMrMyeX3F6zyx+AmuLXctc++aS/XI6o5kEf9jjEmx1kbnNJ/20MVnioQX8WiZAzwc8zDhoeGM+nbUBV//cteXpOxP4fEmjztW5pB9e77Hmz7Ogh4L2P3Lbq6feD3LflzmWB4JTCp08WsVL6lIz3o9+e/a/3Lw1F8v/hafFE+5YuWIjYp1IN1fta3ZllUPrqJM0TK0mtKKt5PfdjqSBBAVuvi9x5s8zpmMM7y1+q0/TN+YupEFOxbwcMzDv15bvSCodWktVjywgrY12xL3WRwPffaQV2+CLcFDhS5+r3bZ2tx65a28uepN0tLTfp0+MmkkRcOL0i+6n4PpLqxkREnm3TWPJ5o+wdjksbSd1pZDaYecjiV+ToUuAWFw08EcPn2Yd9e+C8BPx39i+obpPNDgAS4teqmz4S4iNCSUV9u8ytQuU/l2z7fETIzRpQMkX1ToEhCaV21Oo0qNGPXtKDKzMhm9cjSZNpNHGz/qdLQc3VPvHpbdt4wzGWdoMqkJc7fq4qVuO3wY5s6FQYOgcWOIjIQ774RPPoH04DuMpUKXgHD+cgA7j+4kYV0Cb6e8zZ117vTI+e6+EFMphtW9V1O7TG06z+rMsGXD9CWkC/nxR3jvPYiLg2uugTJloHNnGDMGwsOhSxf46ivo2BEqV4ZHH4W1a51O7TM6D10CRmZWJle/dTU/HvuR9Kx0knsn0/Cyhk7HypXT6afp/Ulv3tvwHt2u6cbkTpMpGl7U6VjOyMqCLVtg+fLffvbsyX6tRAlo1gyaN4cbboDrr4cI1wff6emwYAEkJPy2p16vHvTqBT16QPn8XWnTCe6eh65Cl4AybvU4+s/vT4vqLVjSa4nTcfLEWkt8UjxDFg+hQcUGfNztY6qUrOJ0rDxLS09j9IrRbDuyjf92+q97C507B1WqQKrrZmgVKmQX9/mfunUhNDTn9Rw+DLNmZZf7qlXZy9x8c3a5d+z4238CBZwKXYLS6fTTxH4cy6Amg2hUuZHTcfLls22f0f2D7hQJL8JH3T6iaZWmTkfKlcysTKasm8KzS5/lpxM/0fGqjsy+czaFQgu5t4J//QuqVs0u8Jo14SL3mnXb1q0wZQpMnQp792Yfb+/WLfsnJgaKFcvf+r1IhS4SALYc3ELHmR358diPjO8wPlf3QXWKtZbPd3zOE4ufYGPqRmIqxRDfJp4bq93odLRsmZmwdGn2XvuHH0JaWvaee7162R+snv+pVSv//4l4iApdJEAcOX2EbnO6sfj7xQxsNJD4tvGEhYQ5HeuCUval8MTiJ1jywxJqlqrJK61e4Y46d2AKSDH+xYkT2R+irlwJK1ZkP544kf1a6dLQqNFvBR8Tk71X7wAVukgAycjKYNDCQYxeOZo2l7dh1h2zKFWklNOxfrXr2C6GLhnK9A3TKVO0DM/d+Bx9o/u6f3iloMjMzD40s2LFbz+bNsH5nrz66uxyb9kS2reHS33zHQcVukgAmrRmEv0+60e1yGrMu2setcvWdjTPkdNHGLZsGG+ufpNQE8pjTR7jiWZPUKJwCUdzedTx47B69R9L/tAhCAmBpljPDCgAAAacSURBVE3h1luzP2C96iqvHaJRoYsEqG92f8Nt79/GmYwzzLh9Bu1rtfd5hjMZZ3hz1ZsMWz6M42ePc2/UvbzY4kUqlajk8yw+l5UFKSnZp0R+8slv57lfcUV2ud96a/bplOF5v4HLn6nQRQLY7l9202lmJ9b9vI5XW7/KoKaDfHKcOstmMX3DdIYuGcruX3bTvlZ7hrcaTt3ydb0+doG1Zw98+ml2uS9ZAmfPZh9rb9cuu9xvuQVK5e/wmApdJMCdOneK++bex+zNs7mn3j1MvHWiV68qufj7xQxeNJi1P6+lYcWGjGgzgpY1WnptPL908iQsXpxd7p9+mn0efWho9qmXw4dnf8iaB+4WesH8qFxEclSsUDFm3TGLqOVRPLP0GbYd3sZH3T7isksu8+g4635ex5OLn+SLnV9QI7IGM26fQddrujp6w5ACq3jx7EsRdO6cfWhm1arfDs0UKeL14bWHLhIAPt76Mfd8eA8lCpcgoXMCLWu0JDTEjW9S/o3dv+zm2aXPMnXdVEoVKcWzNz5Lv+h+FA4r7KHU4i4dchEJMhsObKDjzI7sOraLyIhIWl/emraXt6VtzbZUi6zm9nqOnTnGK8tfYfTK0QAMbDyQIc2HEBnhzDnY4qNDLsaYdsBoIBR4x1o7PD/rE5G8q1u+Luvi1rFg+wIW7lzIwu8XMmfzHACuvPTKX8v9puo3cUnhS/6y/NmMs4xdPZZ/L/83R08fJTYqlhdbvEjVklV9vSmSR3neQzfGhALbgDbAXmA10N1au/liy2gPXcR3rLVsPbT113L/cteXpKWnERYSRtMqTX8t+AYVGzB702yeXvI0u47t4uaaN/Nq61eJqhDl9CaIi9cPuRhjmgAvWGtvdj1/CsBa+8rFllGhizjnbMZZkvYk/Vrwa/avASAiLIIzGWeoX6E+I1qPoE3NNg4nlT/zxSGXSsCe3z3fC/zlnBxjTB+gD0DVqvrTTcQphcMK06JGC1rUaMErvELqqVQSv09k+e7lNKnchB71eujMFT+Xn0K/0LcY/rK7b62dAEyA7D30fIwnIh5Urlg5utftTve63Z2OIh6Sn/+O9wK/v+p+ZWBf/uKIiEhe5afQVwO1jDE1jDGFgLuAeZ6JJSIiuZXnQy7W2gxjzADgC7JPW5xsrd3ksWQiIpIr+ToP3Vo7H5jvoSwiIpIP+khbRCRAqNBFRAKECl1EJECo0EVEAoRPr7ZojDkI/JjHxcsAhzwYx98E8/Zr24NXMG//77e9mrW2bE4L+LTQ88MYk+zOtQwCVTBvv7Y9OLcdgnv787LtOuQiIhIgVOgiIgHCnwp9gtMBHBbM269tD17BvP253na/OYYuIiJ/z5/20EVE5G+o0EVEAoRfFLoxpp0x5n/GmB3GmCFO5/ElY8wuY8wGY8xaY0zA37/PGDPZGJNqjNn4u2mljTGLjDHbXY+lnMzoLRfZ9heMMT+53v+1xpj2Tmb0FmNMFWPMUmPMFmPMJmPMI67pwfLeX2z7c/X+F/hj6Hm5GXUgMcbsAqKttUHx5QpjzI3ASWCKtfZa17QRwBFr7XDXf+ilrLVPOpnTGy6y7S8AJ621I53M5m3GmIpARWvtGmPMJUAK0Bm4l+B47y+2/V3JxfvvD3voMcAOa+331tpzwEygk8OZxEustcuAI3+a3AlIcP2eQPY/9IBzkW0PCtba/dbaNa7fTwBbyL5vcbC89xfb/lzxh0K/0M2oc72hfswCC40xKa4bbgej8tba/ZD9Dx8o53AeXxtgjFnvOiQTkIccfs8YUx1oAKwkCN/7P20/5OL994dCd+tm1AGsmbX2OuAW4CHXn+USPMYBNYH6wH7gNWfjeJcxpjjwATDQWnvc6Ty+doHtz9X77w+FHtQ3o7bW7nM9pgIfkX0IKtgccB1jPH+sMdXhPD5jrT1grc201mYBEwng998YE052mb1nrf3QNTlo3vsLbX9u339/KPSgvRm1MaaY6wMSjDHFgLbAxr9fKiDNA3q5fu8FzHUwi0+dLzOXLgTo+2+MMcAkYIu1dtTvXgqK9/5i25/b97/An+UC4DpV53V+uxn1MIcj+YQx5nKy98oh+/6v0wN9240xM4CbyL506AHgeeBj4H2gKrAbuNNaG3AfHl5k228i+89tC+wC+p4/phxIjDHNgeXABiDLNflpso8jB8N7f7Ht704u3n+/KHQREcmZPxxyERERN6jQRUQChApdRCRAqNBFRAKECl1EJECo0EVEAoQKXUQkQPw/DrpGvVI7ZooAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "26 [1.7210690172810703, -0.6440676121799878, -0.6513466613784553, -2.0903589136543506, -0.7049919206305953]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "27 [-1.4434353426365814, -0.1972856501420761, 1.0215558159420048, -1.1114152098026373, -4.033124116683719]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "28 [-0.6087525130941018, -0.04889176915798754, -0.14356341058702754, -0.36520326146805043, -0.37504733989656114]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "29 [3.9845008702437528, 3.6756316745627564, 3.9795364019788315, 4.0656209528290015, 4.015257536305151]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "30 [3.8795267243743363, 4.905279844240395, 3.933805151175804, 4.648801862645615, 3.9968277218953716]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "31 [9.953166269183026, 10.359967518313791, 10.704594869079163, 11.712887626385083, 13.236467609422398]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "32 [2.1353309231723205, 0.9453577460402607, -0.9761861498629982, -0.10883215497739251, -1.4503603364593687]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "33 [2.3407021103179924, 1.0025620560298385, 2.6400351523060546, 2.8728709077934593, 2.817281754330386]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "34 [1.781103547604979, 1.518976769647495, 1.5432859896514435, 1.36167527628292, 1.545686626219567]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "35 [2.0970827539882686, 1.3233279479017304, 0.7777310475705814, 0.3025945023320511, 0.014254362317566938]\n"
     ]
    },
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-16-b8f506d4b4de>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m     73\u001b[0m         \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mregion_id\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mpres\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     74\u001b[0m         \u001b[0mpre_dic\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mupdate\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m{\u001b[0m\u001b[0mregion_id\u001b[0m\u001b[1;33m:\u001b[0m\u001b[0mpres\u001b[0m\u001b[1;33m}\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 75\u001b[1;33m         \u001b[0mpyplot\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mgroup\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m-\u001b[0m\u001b[0mlen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mpres\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mlen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mgroup\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mpres\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'red'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     76\u001b[0m         \u001b[0msave_dir\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'AR_fit_city_lgb/'\u001b[0m\u001b[1;33m+\u001b[0m\u001b[0mcity_id\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     77\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[0mos\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpath\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mexists\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0msave_dir\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\AppData\\Local\\Continuum\\anaconda3\\envs\\baidu\\lib\\site-packages\\matplotlib\\pyplot.py\u001b[0m in \u001b[0;36mplot\u001b[1;34m(scalex, scaley, data, *args, **kwargs)\u001b[0m\n\u001b[0;32m   2761\u001b[0m     return gca().plot(\n\u001b[0;32m   2762\u001b[0m         *args, scalex=scalex, scaley=scaley, **({\"data\": data} if data\n\u001b[1;32m-> 2763\u001b[1;33m         is not None else {}), **kwargs)\n\u001b[0m\u001b[0;32m   2764\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   2765\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\AppData\\Local\\Continuum\\anaconda3\\envs\\baidu\\lib\\site-packages\\matplotlib\\axes\\_axes.py\u001b[0m in \u001b[0;36mplot\u001b[1;34m(self, scalex, scaley, data, *args, **kwargs)\u001b[0m\n\u001b[0;32m   1646\u001b[0m         \u001b[0mlines\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_get_lines\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mdata\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1647\u001b[0m         \u001b[1;32mfor\u001b[0m \u001b[0mline\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mlines\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 1648\u001b[1;33m             \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0madd_line\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mline\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   1649\u001b[0m         \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_request_autoscale_view\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mscalex\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mscalex\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mscaley\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mscaley\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1650\u001b[0m         \u001b[1;32mreturn\u001b[0m \u001b[0mlines\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\AppData\\Local\\Continuum\\anaconda3\\envs\\baidu\\lib\\site-packages\\matplotlib\\axes\\_base.py\u001b[0m in \u001b[0;36madd_line\u001b[1;34m(self, line)\u001b[0m\n\u001b[0;32m   1846\u001b[0m         \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_set_artist_props\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mline\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1847\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mline\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mget_clip_path\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;32mis\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 1848\u001b[1;33m             \u001b[0mline\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mset_clip_path\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpatch\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   1849\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1850\u001b[0m         \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_update_line_limits\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mline\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\AppData\\Local\\Continuum\\anaconda3\\envs\\baidu\\lib\\site-packages\\matplotlib\\artist.py\u001b[0m in \u001b[0;36mset_clip_path\u001b[1;34m(self, path, transform)\u001b[0m\n\u001b[0;32m    760\u001b[0m             \u001b[1;32mif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mpath\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mRectangle\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    761\u001b[0m                 self.clipbox = TransformedBbox(Bbox.unit(),\n\u001b[1;32m--> 762\u001b[1;33m                                                path.get_transform())\n\u001b[0m\u001b[0;32m    763\u001b[0m                 \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_clippath\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    764\u001b[0m                 \u001b[0msuccess\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;32mTrue\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\AppData\\Local\\Continuum\\anaconda3\\envs\\baidu\\lib\\site-packages\\matplotlib\\patches.py\u001b[0m in \u001b[0;36mget_transform\u001b[1;34m(self)\u001b[0m\n\u001b[0;32m    260\u001b[0m     \u001b[1;32mdef\u001b[0m \u001b[0mget_transform\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    261\u001b[0m         \u001b[1;34m\"\"\"Return the `~.transforms.Transform` applied to the `Patch`.\"\"\"\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 262\u001b[1;33m         \u001b[1;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mget_patch_transform\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m+\u001b[0m \u001b[0martist\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mArtist\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mget_transform\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    263\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    264\u001b[0m     \u001b[1;32mdef\u001b[0m \u001b[0mget_data_transform\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\AppData\\Local\\Continuum\\anaconda3\\envs\\baidu\\lib\\site-packages\\matplotlib\\patches.py\u001b[0m in \u001b[0;36mget_patch_transform\u001b[1;34m(self)\u001b[0m\n\u001b[0;32m    775\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    776\u001b[0m     \u001b[1;32mdef\u001b[0m \u001b[0mget_patch_transform\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 777\u001b[1;33m         \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_update_patch_transform\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    778\u001b[0m         \u001b[1;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_rect_transform\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    779\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\AppData\\Local\\Continuum\\anaconda3\\envs\\baidu\\lib\\site-packages\\matplotlib\\patches.py\u001b[0m in \u001b[0;36m_update_patch_transform\u001b[1;34m(self)\u001b[0m\n\u001b[0;32m    756\u001b[0m         \u001b[0mbbox\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mtransforms\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mBbox\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfrom_extents\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx0\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0my0\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mx1\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0my1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    757\u001b[0m         \u001b[0mrot_trans\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mtransforms\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mAffine2D\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 758\u001b[1;33m         \u001b[0mrot_trans\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrotate_deg_around\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx0\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0my0\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mangle\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    759\u001b[0m         \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_rect_transform\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mtransforms\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mBboxTransformTo\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mbbox\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    760\u001b[0m         \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_rect_transform\u001b[0m \u001b[1;33m+=\u001b[0m \u001b[0mrot_trans\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\AppData\\Local\\Continuum\\anaconda3\\envs\\baidu\\lib\\site-packages\\matplotlib\\transforms.py\u001b[0m in \u001b[0;36mrotate_deg_around\u001b[1;34m(self, x, y, degrees)\u001b[0m\n\u001b[0;32m   1968\u001b[0m         \u001b[1;31m# Cast to float to avoid wraparound issues with uint8's\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1969\u001b[0m         \u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0my\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mfloat\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mfloat\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0my\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 1970\u001b[1;33m         \u001b[1;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtranslate\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m-\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m-\u001b[0m\u001b[0my\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrotate_deg\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mdegrees\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtranslate\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0my\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   1971\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1972\u001b[0m     \u001b[1;32mdef\u001b[0m \u001b[0mtranslate\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mtx\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mty\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\AppData\\Local\\Continuum\\anaconda3\\envs\\baidu\\lib\\site-packages\\matplotlib\\transforms.py\u001b[0m in \u001b[0;36mtranslate\u001b[1;34m(self, tx, ty)\u001b[0m\n\u001b[0;32m   1980\u001b[0m         translate_mtx = np.array(\n\u001b[0;32m   1981\u001b[0m             [[1.0, 0.0, tx], [0.0, 1.0, ty], [0.0, 0.0, 1.0]], float)\n\u001b[1;32m-> 1982\u001b[1;33m         \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_mtx\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mtranslate_mtx\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_mtx\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   1983\u001b[0m         \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0minvalidate\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1984\u001b[0m         \u001b[1;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m<__array_function__ internals>\u001b[0m in \u001b[0;36mdot\u001b[1;34m(*args, **kwargs)\u001b[0m\n",
      "\u001b[1;31mKeyboardInterrupt\u001b[0m: "
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def reserve_target(data,index):\n",
    "    max_id=data.index(max(data))\n",
    "    if max_id==len(data)-1:#最后一个点为最大值\n",
    "        return list(index)\n",
    "    else:\n",
    "        return list(index[max_id:])\n",
    "#保留最大值往后的值\n",
    "for city_id in ['A','B','C','D','E','F','G','H','I','J','K']:\n",
    "    grouped=train_data[city_id].groupby('region_id')\n",
    "    reserve_list=[]\n",
    "    for ciy_id,group in grouped:\n",
    "        reserve_list+=reserve_target(list(group['index'].values),group.index)\n",
    "    train_data[city_id]=train_data[city_id].loc[reserve_list].reset_index(drop=True)\n",
    "def calculate_lag(df, lag_list, column):\n",
    "    for lag in lag_list:\n",
    "        column_lag = column + \"_\" + str(lag)\n",
    "        df[column_lag] = df[column].shift(lag, fill_value=0)\n",
    "    return df\n",
    "\n",
    "def calculate_trend(df, lag_list, column):\n",
    "    for lag in lag_list:\n",
    "        trend_column_lag = \"Trend_\" + column + \"_\" + str(lag)\n",
    "        df[trend_column_lag] = (df[column].shift(0, fill_value=0) - \n",
    "                                df[column].shift(lag, fill_value=0))/df[column].shift(lag, fill_value=0.001)\n",
    "    return df\n",
    "\n",
    "def get_feature(df):\n",
    "    df = calculate_lag(df, range(1,7), 'index')\n",
    "    #all_data = calculate_lag(all_data, range(1,7), 'migration')\n",
    "    df = calculate_trend(df, range(1,7), 'index')\n",
    "    #all_data = calculate_trend(all_data, range(1,7), 'migration')\n",
    "    df.replace([np.inf, -np.inf], 0, inplace=True)\n",
    "    df.fillna(0, inplace=True)\n",
    "    return df\n",
    "def get_test(train_df):\n",
    "    test_data=train_df[-1:].reset_index(drop=True)\n",
    "    last_raw=train_df[-1:].reset_index(drop=True)\n",
    "    pres1=['index_'+str(i) for i in range(1,7)]\n",
    "    pres2=['Trend_index_'+str(i) for i in range(1,7)]\n",
    "    test_data.loc[0,'index_1']=last_raw.loc[0,'index']\n",
    "    for i in range(len(pres1)-1):\n",
    "        test_data.loc[0,pres1[i+1]]=last_raw.loc[0,pres1[i]]\n",
    "    test_data.loc[0,'Trend_index_1']=1\n",
    "    for i in range(len(pres2)-1):\n",
    "        test_data.loc[0,pres2[i+1]]=last_raw.loc[0,pres2[i]]\n",
    "    X_test=test_data.drop(['index'],axis=1)\n",
    "    return X_test\n",
    "pre_lens=5\n",
    "pre_dicSeir={}\n",
    "for city_id in ['A','B','C','D','E','F','G','H','I','J','K']:\n",
    "    grouped=train_data[city_id].groupby('region_id')\n",
    "    reserve_list=[]\n",
    "    pre_dic={}\n",
    "    for region_id,group in grouped:\n",
    "        group=group[-20:].reset_index(drop=True)\n",
    "        group=group.drop(['date','city','region_id'],axis=1)\n",
    "        print(len(group))\n",
    "        pyplot.plot(group.values,'green')\n",
    "        pres=[]\n",
    "        for i in range(pre_lens):\n",
    "            #print(len(group))\n",
    "            train_df=get_feature(group)\n",
    "            X_train=train_df.drop(['index'],axis=1)\n",
    "            Y_train=train_df['index']\n",
    "            X_test=get_test(train_df)\n",
    "            regr = linear_model.LinearRegression()#线性回归模型，可选树模型\n",
    "            model_choose=regr\n",
    "            model_choose.fit(X_train, Y_train)\n",
    "            y_pred = model_choose.predict(X_test)\n",
    "            raw={'index':y_pred[0]}\n",
    "            pres.append(y_pred[0])\n",
    "            group=group.append(raw,ignore_index=True)\n",
    "        print(region_id,pres)\n",
    "        pre_dic.update({region_id:pres})\n",
    "        pyplot.plot([i for i in range(len(group)-len(pres),len(group))],pres, color='red')\n",
    "        save_dir='AR_fit_city_lgb/'+city_id\n",
    "        if not os.path.exists(save_dir):\n",
    "            os.makedirs(save_dir)\n",
    "        plt.savefig(os.path.join(save_dir,str(region_id)+'.png'))\n",
    "        pyplot.show()\n",
    "        pyplot.close()\n",
    "    pre_dicSeir.update({city_id:pre_dic})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "ename": "KeyError",
     "evalue": "'A'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mKeyError\u001b[0m                                  Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-19-00712df6511d>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m     13\u001b[0m     \u001b[1;32mif\u001b[0m \u001b[0mdate\u001b[0m\u001b[1;33m<\u001b[0m\u001b[1;36m21200702\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     14\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mcity\u001b[0m \u001b[1;32min\u001b[0m \u001b[1;33m[\u001b[0m\u001b[1;34m'A'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'C'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'I'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'J'\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'K'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 15\u001b[1;33m             \u001b[0mreplace_lgb\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mpre_dicSeir\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mcity\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mregion_id\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mconvert_date\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mdate\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     16\u001b[0m             \u001b[1;32mif\u001b[0m \u001b[0mreplace_lgb\u001b[0m\u001b[1;33m<\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     17\u001b[0m                 \u001b[0mreplace_lgb\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mKeyError\u001b[0m: 'A'"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "re_sub=pd.read_csv('submits/submission1_16.csv',header=None)\n",
    "re_sub.columns = ['city','region_id','date', 'index']\n",
    "import random\n",
    "tmp_list=[]\n",
    "ex={'A':[],'C':[],'I':[8],'J':[3],'K':[0]}\n",
    "def convert_date(date):\n",
    "    if date==21200630:\n",
    "        return 0\n",
    "    else:\n",
    "        return date-21200700\n",
    "for num,city,region_id,date,value in re_sub.itertuples():\n",
    "    if date<21200702:\n",
    "        if city in ['A','C','I','J','K']:\n",
    "            replace_lgb=pre_dicSeir[city][region_id][convert_date(date)]\n",
    "            if replace_lgb<0:\n",
    "                replace_lgb=0\n",
    "            if region_id not in ex[city]:\n",
    "                re_sub.loc[num,'index']=int(np.ceil(replace_lgb))\n",
    "            #re_sub.loc[num,'index']=int(np.ceil(replace_lgb))\n",
    "re_sub.to_csv('submits/submission7_23v1.csv',index=False,header=None)\n",
    "re_sub.head(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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